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Finding the Fourth Proportional to 97,508.67, 146,268.45 and 27,382.50

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Solution

The fourth proportional to 97,508.67, 146,268.45 and 27,382.50 is: 41,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,508.67 : 146,268.45 = 27,382.50 : x
  2. Step 2: Convert to fraction form
    97,508.67/146,268.45 = 27,382.50/x
  3. Step 3: Cross multiply
    97,508.67x = 146,268.45 × 27,382.50
  4. Step 4: Simplify right side
    97,508.67x = 4,005,195,832.13
  5. Step 5: Solve for x
    x = 4,005,195,832.13/97,508.67
  6. Step 6: Final answer
    x = 41,075.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.